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Representations of Lie superalgebras. II: Unitary representations of Lie superalgebras of type A(n,0)

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Publication:913937
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DOI10.1215/kjm/1250520181zbMath0701.17013OpenAlexW1606841846MaRDI QIDQ913937

Hirotoshi Furutsu

Publication date: 1990

Published in: Journal of Mathematics of Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/kjm/1250520181


zbMATH Keywords

unitary representationsLie superalgebrasbranching rulesreal forms of \({\mathfrak sl}(n,1)\)root space decompositions


Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Superalgebras (17A70) Graded Lie (super)algebras (17B70)


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On homology and cohomology of Lie superalgebras with coefficients in their finite-dimensional representations ⋮ On representations of Lie superalgebras. II ⋮ Characters and super-characters of discrete series representations for orthosymplectic Lie superalgebras ⋮ Classification of irreducible super-unitary representations of \({\mathfrak su}(p,q/n)\) ⋮ Oscillator representations for orthosymplectic algebras



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